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Finding the Fourth Proportional to 9,101.52, 13,670.96 and 5,985.95

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Solution

The fourth proportional to 9,101.52, 13,670.96 and 5,985.95 is: 8,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.52 : 13,670.96 = 5,985.95 : x
  2. Step 2: Convert to fraction form
    9,101.52/13,670.96 = 5,985.95/x
  3. Step 3: Cross multiply
    9,101.52x = 13,670.96 × 5,985.95
  4. Step 4: Simplify right side
    9,101.52x = 81,833,683.01
  5. Step 5: Solve for x
    x = 81,833,683.01/9,101.52
  6. Step 6: Final answer
    x = 8,991.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.